메뉴 건너뛰기




Volumn 215, Issue 2, 2000, Pages 443-476

Existence and properties of p-tupling fixed points

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034349552     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000311     Document Type: Article
Times cited : (7)

References (29)
  • 2
    • 0001942894 scopus 로고
    • Itération d'endomorphismes et groupe de renormalisation
    • [CT] Coullet, P., and Tresser, C.: Itération d'endomorphismes et groupe de renormalisation. J. de Physique Colloque C 539, C5-25 (1978). CRAS Paris 287 A, (1978)
    • (1978) J. de Physique Colloque C , vol.539
    • Coullet, P.1    Tresser, C.2
  • 3
    • 0002397089 scopus 로고
    • [CT] Coullet, P., and Tresser, C.: Itération d'endomorphismes et groupe de renormalisation. J. de Physique Colloque C 539, C5-25 (1978). CRAS Paris 287 A, (1978)
    • (1978) CRAS Paris , vol.287 A
  • 4
    • 0000704409 scopus 로고    scopus 로고
    • Rigidity of critical circle mappings. Rigidity of critical circle mappings I
    • [dFdM] de Faria, E., and de Melo, W.: Rigidity of critical circle mappings. Rigidity of critical circle mappings I. J. Eur. Math. Soc. (JEMS) 1, 339-392 (1999)
    • (1999) J. Eur. Math. Soc. (JEMS) , vol.1 , pp. 339-392
    • De Faria, E.1    De Melo, W.2
  • 7
    • 0000630026 scopus 로고
    • On the existence of fixed points of the composition operator for circle maps
    • [EE] Eckmann, J.-P., and Epstein, H.: On the existence of fixed points of the composition operator for circle maps. Commun. Math. Phys. 107, 213-231 (1986)
    • (1986) Commun. Math. Phys. , vol.107 , pp. 213-231
    • Eckmann, J.-P.1    Epstein, H.2
  • 8
    • 0003227327 scopus 로고
    • Computer methods and Borel summability applied to Feigenbaum's equation
    • Berlin: Springer Verlag
    • [EW] Eckmann, J.-P., and Wittwer, P.: Computer methods and Borel summability applied to Feigenbaum's equation. Lecture Notes in Physics 227. Berlin: Springer Verlag, 1985.
    • (1985) Lecture Notes in Physics , vol.227
    • Eckmann, J.-P.1    Wittwer, P.2
  • 9
    • 0000871615 scopus 로고
    • New proofs of the existence of the Feigenbaum functions
    • [E1] Epstein, H.: New proofs of the existence of the Feigenbaum functions. Commun. Math. Phys. 106, 395-426 (1986)
    • (1986) Commun. Math. Phys. , vol.106 , pp. 395-426
    • Epstein, H.1
  • 10
    • 0002588816 scopus 로고
    • Fixed points of composition operators
    • Zweifel, P., Gallavotti, G., and Anile, M., eds., New York: Plenum
    • [E2] Epstein, H.: Fixed points of composition operators. In: Non-linear Evolution and Chaotic Phenomena, Zweifel, P., Gallavotti, G., and Anile, M., eds., New York: Plenum, 1988
    • (1988) Non-linear Evolution and Chaotic Phenomena
    • Epstein, H.1
  • 11
    • 0000830337 scopus 로고
    • Fixed points of composition operators II
    • d edition. Bristol: Adam Hilger, 1989)
    • (1989) Nonlinearity , vol.2 , pp. 305-310
    • Epstein, H.1
  • 13
    • 0001290285 scopus 로고
    • Analyticity properties of the Feigenbaum function
    • [EL] Epstein, H., and Lascoux, J.: Analyticity properties of the Feigenbaum function. Commun. Math. Phys. 81, 437-53 (1981)
    • (1981) Commun. Math. Phys. , vol.81 , pp. 437-453
    • Epstein, H.1    Lascoux, J.2
  • 14
    • 0001816458 scopus 로고
    • Quantitative universality for a class of non-linear transformations
    • [F1] Feigenbaum, M.J.: Quantitative universality for a class of non-linear transformations. J. Stat. Phys. 19, 25-52 (1978)
    • (1978) J. Stat. Phys. , vol.19 , pp. 25-52
    • Feigenbaum, M.J.1
  • 15
    • 0347447535 scopus 로고
    • Universal metric properties of non-linear transformations
    • [F2] Feigenbaum, M.J.: Universal metric properties of non-linear transformations. J. Stat. Phys. 21, 669-706 (1979)
    • (1979) J. Stat. Phys. , vol.21 , pp. 669-706
    • Feigenbaum, M.J.1
  • 16
    • 0001540965 scopus 로고
    • Quasi-periodicity in dissipative systems: A renormalization group analysis
    • [FKS] Feigenbaum, M.J., Kadanoff, L.P., and Shenker, S.J.: Quasi-periodicity in dissipative systems: A renormalization group analysis. Physica D 5, 370-386 (1982)
    • (1982) Physica D , vol.5 , pp. 370-386
    • Feigenbaum, M.J.1    Kadanoff, L.P.2    Shenker, S.J.3
  • 17
    • 0002603916 scopus 로고
    • Universal properties of maps of the circle with ∈-singularities
    • [JR] Jonker, L., and Rand, D.: Universal properties of maps of the circle with ∈-singularities. Commun. Math. Phys. 90, 273-292 (1983)
    • (1983) Commun. Math. Phys. , vol.90 , pp. 273-292
    • Jonker, L.1    Rand, D.2
  • 18
    • 0000840420 scopus 로고
    • Remarks on the accumulation of period-doubling bifurcations
    • Mathematical problems in Theoretical Physics, Berlin: Springer Verlag
    • [L1] Lanford III, O.E.: Remarks on the accumulation of period-doubling bifurcations. In Mathematical problems in Theoretical Physics, Lecture Notes in Physics vol. 116, Berlin: Springer Verlag, 1980, pp. 340-342
    • (1980) Lecture Notes in Physics , vol.116 , pp. 340-342
    • Lanford O.E. III1
  • 19
    • 84966250718 scopus 로고
    • A computer-assisted proof of the Feigenbaum conjectures
    • [L2] Lanford III, O.E.: A computer-assisted proof of the Feigenbaum conjectures. Bull. Am. Math. Soc., New Series 6, 127 (1984)
    • (1984) Bull. Am. Math. Soc., New Series , vol.6 , pp. 127
    • Lanford O.E. III1
  • 20
    • 0033444774 scopus 로고    scopus 로고
    • Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
    • [Ly] Lyubich, M.: Feigenbaum-Coullet-Tresser universality and Milnor's Hairiness Conjecture. Annals of Math. 149, 319-420 (1999)
    • (1999) Annals of Math. , vol.149 , pp. 319-420
    • Lyubich, M.1
  • 21
    • 0032341073 scopus 로고    scopus 로고
    • The periodic points of renormalization
    • [M] Martens, M.: The periodic points of renormalization. Ann. Math., II. Ser. 147, No.3, 543-584 (1998)
    • (1998) Ann. Math., II. Ser. , vol.147 , Issue.3 , pp. 543-584
    • Martens, M.1
  • 22
    • 0032332116 scopus 로고    scopus 로고
    • Feigenbaum theory for unimodal maps with asymmetric critical point: Rigorous results
    • [MO] Mestel, B., and Osbaldestin, A.: Feigenbaum theory for unimodal maps with asymmetric critical point: Rigorous results. Commun. Math. Phys. 197, 211-228 (1998)
    • (1998) Commun. Math. Phys. , vol.197 , pp. 211-228
    • Mestel, B.1    Osbaldestin, A.2
  • 24
    • 0020810173 scopus 로고
    • Universal properties of the transition from quasiperiodicity to chaos in dissipative systems
    • [ORSS] Ostlund, S., Rand, D., Sethna, J., and Siggia, E.: Universal properties of the transition from quasiperiodicity to chaos in dissipative systems. Physica D 8, 303-342 (1983)
    • (1983) Physica D , vol.8 , pp. 303-342
    • Ostlund, S.1    Rand, D.2    Sethna, J.3    Siggia, E.4
  • 25
    • 0002958690 scopus 로고
    • Quasiconformal homeomorphisms in dynamics, topology, and geometry
    • Providence, RI.: AMS
    • [S1] Sullivan, D.: Quasiconformal homeomorphisms in dynamics, topology, and geometry. Proc. ICM-86 Berkeley II, Providence, RI.: AMS, pp. 1216-1228 (1987)
    • (1987) Proc. ICM-86 Berkeley , vol.2 , pp. 1216-1228
    • Sullivan, D.1
  • 27
    • 0001490522 scopus 로고
    • Rational rotation numbers for maps of the circle
    • [Sw] Świa̧tek, G.: Rational rotation numbers for maps of the circle. Commun. Math. Phys. 119, 109-128 (1988)
    • (1988) Commun. Math. Phys. , vol.119 , pp. 109-128
    • Świa̧tek, G.1
  • 28
    • 0003830266 scopus 로고
    • Paris: Presses Universitaires de France
    • [V] Valiron, G.: Fonctions Analytiques. Paris: Presses Universitaires de France, 1954
    • (1954) Fonctions Analytiques
    • Valiron, G.1
  • 29
    • 0002573888 scopus 로고    scopus 로고
    • Hyperbolicity of renormalization of critical circle maps
    • Preprint. to appear
    • [Y] Yampolsky, M.: Hyperbolicity of renormalization of critical circle maps. (Preprint IHES/M/00/50, to appear)
    • IHES/M/00/50
    • Yampolsky, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.